Media Summary: The need for approximate solutions, recap of component level limit state function and failure probability; graphical representation ... Map from X to Y space: limit state h(Y) and joint PDF change shape and location; choose Y to be the space of independent ... The approximate nature of FORM solution, map from X to U, evaluate h(U) repeatedly, find minimum distance from origin to h=0; ...
Structural Reliability Lecture 20 Module - Detailed Analysis & Overview
The need for approximate solutions, recap of component level limit state function and failure probability; graphical representation ... Map from X to Y space: limit state h(Y) and joint PDF change shape and location; choose Y to be the space of independent ... The approximate nature of FORM solution, map from X to U, evaluate h(U) repeatedly, find minimum distance from origin to h=0; ... Map the minimum distance point u* back to the design point x* ; characteristic values, idea of partial safety factors - role of bias, ... Gradient Projection Method - flow chart, graphical representation, Armijo's rule, convergence. Second moment (Hasofer-Lind) transform, full distribution transform, Nataf transform, Rackwitz-Fiessler transform, Rosenblatt ...
Recap of Parts A and B; plan for Part C; Recap of element vs. system Example: Redo D1 4RV Problem with SORM Example D1: Cable Flowchart for estimating limit state probabilities; Example - Safe Stopping Distance in traffic engineering and probability of ... welcome friends to the online course of risk and Need for a common framework for considering a wide range of consequences;
